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Sergio039 [100]
4 years ago
8

−13π/5 find the reference angle

Mathematics
1 answer:
miss Akunina [59]4 years ago
8 0
I would convert to degrees first seems to make it easier.
\frac{-13 \pi }{5}×\frac{180}{ \pi }
= -468
by adding 360 twice we get the coterminal angle 252

252 is in the 3rd quadrant so 180 is the closest angle on the x-axis
ref angle = 252 - 180 = 72 

If necessary convert back to radians... 72( \frac{ \pi }{180} )= \frac{2 \pi }{5}
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3 years ago
James buys x books at a used-book sale. Enter an inequality that can be used to find the number of books James buys (x) when the
den301095 [7]

2x<15

Step-by-step explanation:

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3 years ago
Points X and Z are on a number line, and point Y partitions
abruzzese [7]

Answer:

The coordinate of Z is 13.36.

Step-by-step explanation:

According to the statement, we have the following information:

\frac{XY}{XZ} = \frac{5}{12} (1)

\frac{YZ}{XZ} = \frac{7}{12} (2)

X = 0.4 (3)

Y = 5.8 (4)

From (2), we have the following expression:

YZ = \frac{7}{12}\cdot XZ

Y-Z =\frac{7}{12}\cdot (X-Z)

Y - Z = \frac{7}{12}\cdot X -\frac{7}{12}\cdot Z

Y-\frac{7}{12}\cdot X = Z-\frac{7}{12}\cdot Z

\frac{5}{12}\cdot Z = Y-\frac{7}{12}\cdot X

5\cdot Z = 12\cdot Y-7\cdot X

Z = \frac{12}{5}\cdot Y-\frac{7}{5}\cdot X (5)

If we know that Y = 5.8 and X = 0.4, then the coordinate of Z is:

Z = \frac{12}{5}\cdot (5.8)-\frac{7}{5}\cdot (0.4)

Z = 13.36

The coordinate of Z is 13.36.

6 0
3 years ago
What is the length of the radius, r? 6 cm 18 cm 36 cm 72 cm.
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The length of the radius of circle o is 18 cm.

<h2></h2><h2>Given that</h2>

Circle o has a circumference of 36π cm.

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<h3>According to the question</h3>

Circle o has a circumference of 36π cm.

The length of the radius of the circle is determined by the following formula;

\rm Circumference = 2\pi r

Substitute all the values in the formula;

\rm Circumference = 2\pi r\\&#10;\\&#10;36\pi =2\pi r\\&#10;\\&#10;r = \dfrac{36\pi }{2\pi }\\&#10;\\&#10;r = 18 \ cm

Hence, the length of the radius of circle o is 18 cm.

To know more about Circumference click the link given below.

brainly.com/question/4268218

7 0
3 years ago
Katie lunch cost 17 dollars without tax she leaves the waiter a tip of 18 percent of the cost of the lunch without tax what is t
AveGali [126]

Answer:

$20.06

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7 0
3 years ago
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